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Interesting Mathematical Problems in Sciences and Everyday Life - 2011
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Practical Application of Biostatistical Methods in Medical and Biological Research | Survey on Islands – a Possible Research Topic, Even for Students | Investigation of Impulsive Systems with Mathematica | Influenza Models with Wolfram Mathematica | Understanding Convergence and Stability of the Newton-Raphson Method | The Use of Experimental Mathematics in the Classroom | Building a Conference Center or Triangulating a Surface | Introduction to Nonlinear Wave Models | Investigating the Effect of Seasonality of Birth for Acute Lymphoblastic Leukaemia | On the Delta Distribution: Historical Remarks, Visualization of Delta Sequences | Probability and Statistical Models Appearing in Teaching Mathematics to Science Teachers and University Students | Maths in Modeling Astronomical Phenomena | How to Use Algebraic Structures | Basic and Advanced Database Courses | 3D on Paper and Screen Displaying Three Dimensional Figures | On the Process of Mathematical Modeling | Mathematical and Simulation Models in the AnyLogic Program | Selected Mathematical and Statistical Methods in Biology | Effective Real Quantifier Elimination
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Mathematics is often kept in the everyday life as something mystic and terrifying, but at least very difficult to understand. We know that this is simply not true. Mathematics appears in every fields of sciences and every moment of our life. Phenomena in the Nature are often described by quite complicated mathematical models which cannot be studied using only classical theoretical methods. In addition or even instead, experimental methods are needed. These methods became possible by the appearance of high powered desktop computers with realistic real-time graphical capabilities.
Now, computer visualization and modeling tools have become an organic part of scientific research and education, even in the most abstract disciplines such as Mathematics. Their influence is still increasing. They help to find conjectures, illustrate problems, avoid tiresome and repetitive calculations and even they are used in mathematical proofs.
Our students can understand and explore Mathematics themselves by seeing more and more popular applications. Experimental and visual study as well as becoming experts of the computing and visualization tools can lead them to deep theoretical research.
That is why we wrote this "book". It was not an easy but really a joyful work. This collection mirrors part of the research and teaching activities of the mathematicians from the University of Szeged and the University of Novi Sad. Members of our team from both universities wrote an article of their favorite research topics in popular form.
This book is useful for high school or graduate students, teachers or university professors.
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Biostatistical, Newton-Raphson Method, Wave
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http://www.model.u-szeged.hu/etc/edoc/imp/index.html
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